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221302230000 = 2435413156311
BaseRepresentation
bin1100111000011010100…
…1000000101111110000
3210011012221012002110220
43032012221000233300
512111211332330000
6245355334453040
721663034626555
oct3160651005760
9704187162426
10221302230000
1185943380965
1236a81804180
1317b3a732ab7
14a9d5308a2c
155b536c11a0
hex3386a40bf0

221302230000 has 200 divisors, whose sum is σ = 719859271296. Its totient is φ = 58562400000.

The previous prime is 221302229999. The next prime is 221302230031. The reversal of 221302230000 is 32203122.

221302230000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3901845 + ... + 3958155.

Almost surely, 2221302230000 is an apocalyptic number.

221302230000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221302230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359929635648).

221302230000 is an abundant number, since it is smaller than the sum of its proper divisors (498557041296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221302230000 is a wasteful number, since it uses less digits than its factorization.

221302230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56473 (or 56452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 221302230000 its reverse (32203122), we get a palindrome (221334433122).

The spelling of 221302230000 in words is "two hundred twenty-one billion, three hundred two million, two hundred thirty thousand".